Based on backstepping design,adaptive control and sliding mode control,a new adaptive backstepping sliding mode controller was designed for the case of a three-dimensional interception.To confirm the upper bound of uncertainties in sliding-mode control system,considering the maneuvering acceleration of targets as a disturbance.An adaptive law was designed to estimate the value of upper bound in real-time,and its stability and error convergence were testified based on the Lyapunov theorem.Simulation results show that the adaptive backstepping sliding mode law is effective.